๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An integral-equation approach to problems of vibrating beams

โœ Scribed by Walter T. White

Publisher
Elsevier Science
Year
1948
Tongue
English
Weight
552 KB
Volume
245
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper integral equations are applied for the calculation of the normal modes of vibrating beams. Both exact and approximate methods of solving the integral equation are considered. The Green's function, or kernel, of the integral equation is constructed for both uniform and nonuniform beams. Solutions for the normal modes of a uniform cantilever are given. A nonuniform, naturally-twisted turbine blade is studied in detail and the first and second normal modes are calculated by the integral-equation method.

  1. INTRODUCTION.

๐Ÿ“œ SIMILAR VOLUMES

An integral equation method applied to m
An integral equation method applied to mode III crack problems
โœ Liu Nengquan; Nicholas J. Altiero ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 673 KB

an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane (modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems